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Finding the Fourth Proportional to 119,645.30, 165,108.57 and 65,198.18

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Solution

The fourth proportional to 119,645.30, 165,108.57 and 65,198.18 is: 89,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,645.30 : 165,108.57 = 65,198.18 : x
  2. Step 2: Convert to fraction form
    119,645.30/165,108.57 = 65,198.18/x
  3. Step 3: Cross multiply
    119,645.30x = 165,108.57 × 65,198.18
  4. Step 4: Simplify right side
    119,645.30x = 10,764,778,266.40
  5. Step 5: Solve for x
    x = 10,764,778,266.40/119,645.30
  6. Step 6: Final answer
    x = 89,972.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.